Number Theory
Source: Moldova JTST 2005
March 8, 2020
number theory
Problem Statement
Prove that:
a) there are infinitely many natural numbers of the form 3p + 1, p is positive integer , which can be
represented as the difference of 2 cubes of positive integers;
b) there are infinitely many natural numbers of the form 5q + 1, q is positive integer , which can be
represented as the difference of two cubes of positive integers.